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W. Heisenberg and W. Pauli, Zur Quantendynamik der Wellenfelder,
1929
Earlier work this paper cites.
W. Heisenberg and W. Pauli, Zur Quantendynamik der Wellenfelder, II,
1930
Earlier work this paper cites.
E. Wigner, On unitary representations of the inhomogeneous Lorentz group,
1939
Earlier work this paper cites.
F.J. Dyson, Divergence of perturbation theory in quantum electrodynamics,
1952
Earlier work this paper cites.
V. Glaser, An explicit solution of the Thirring model,
1958
Earlier work this paper cites.
W. Thirring, A soluble relativistic field theory,
1958
Earlier work this paper cites.
P. Federbush, A two-dimensional relativistic field theory,
1961
Earlier work this paper cites.
K. Johnson, Solution of the equations for the Green’s functions of a two dimensional relativistic field theory,
1961
Earlier work this paper cites.
H.J. Borchers, On the structure of the algebra of field operators,
1962
Earlier work this paper cites.
H. Araki, On the algebra of all local observables,
1964
Earlier work this paper cites.
H. Araki, Von Neumann algebras of local observables for free scalar field,
1964
Earlier work this paper cites.
R.F. Streater and A.S. Wightman,
1964
Earlier work this paper cites.
A.S. Wightman and L. Gårding, Fields as operator–valued distributions in relativistic quantum field theory,
1964
Earlier work this paper cites.
A. Jaffe,
1965
Earlier work this paper cites.
A. Jaffe, Divergence of perturbation theory for bosons,
1965
Earlier work this paper cites.
R. Jost,
1965
Earlier work this paper cites.
O.E. Lanford,
1965
Earlier work this paper cites.
K. Symanzik, Euclidean quantum field theory, I. Equations for a scalar model,
1966
Earlier work this paper cites.
J. Glimm and A. Jaffe, A
1968
Earlier work this paper cites.
B. Klaiber, The Thirring model, in:
1968
Earlier work this paper cites.
K. Symanzik, Euclidean quantum field theory, in:
1969
Earlier work this paper cites.
J. Glimm and A. Jaffe, A
1970
Earlier work this paper cites.
J. Glimm and A. Jaffe, A
1970
Earlier work this paper cites.
J. Glimm and A. Jaffe, Self-Adjointness of the Yukawa
1970
Earlier work this paper cites.
J. Glimm and A. Jaffe, The energy momentum spectrum and vacuum expectation values in quantum field theory,
1970
Earlier work this paper cites.
J. Glimm and A. Jaffe, The energy momentum spectrum and vacuum expectation values in quantum field theory, II,
1971
Earlier work this paper cites.
J. Glimm and A. Jaffe, Positivity and Self Adjointmess of the
1971
Earlier work this paper cites.
J. Glimm and A. Jaffe, The Yukawa
1971
Earlier work this paper cites.
R. Hoegh-Krohn, A General class of quantum fields without cut-offs in two space-time dimensions,
1971
Earlier work this paper cites.
R. Schrader, A Remark on Yukawa plus Boson selfinteraction in two spacetime dimensions,
1971
Earlier work this paper cites.
J. Glimm and A. Jaffe, A
1972
Earlier work this paper cites.
J. Glimm and A. Jaffe, Boson quantum field theory models, in:
1972
Earlier work this paper cites.
R. Schrader, Yukawa quantum field theory in two spacetime dimensions without cutoffs,
1972
Earlier work this paper cites.
H. Epstein and V. Glaser, The role of locality in perturbation theory,
1973
Earlier work this paper cites.
J. Glimm and A. Jaffe, Positivity of the
1973
Earlier work this paper cites.
E. Nelson, Probability theory and Euclidean field theory, in:
1973
Earlier work this paper cites.
K. Osterwalder and R. Schrader, Euclidean Fermi fields and a Feynman-Kac formula for boson–fermion interactions,
1973
Earlier work this paper cites.
B. Simon and R. Griffiths, The
1973
Earlier work this paper cites.
S. Albeverio and R. Hoegh-Krohn, The Wightman axioms and the mass gap for strong interactions of exponential type in two-dimensional space-time,
1974
Earlier work this paper cites.
J. Fröhlich, Verification of axioms for Euclidean and relativistic fields and Haag’s theorem in a class of
1974
Earlier work this paper cites.
J. Glimm, A. Jaffe and T. Spencer, The Wightman axioms and particle structure in the
1974
Earlier work this paper cites.
D. Gross and A. Neveu, Dynamical symmetry breaking in asymptotically free field theories,
1974
Earlier work this paper cites.
R. Hoegh-Krohn, Relativistic quantum statistical mechanics in two-dimensional space-time,
1974
Earlier work this paper cites.
R. Schrader, Local operator products and field equations in
1974
Earlier work this paper cites.
B. Simon,
1974
Earlier work this paper cites.
K.G. Wilson, Confinement of quarks,
1974
Earlier work this paper cites.
J.J. Bisognano and E.H. Wichmann, On the duality condition for a Hermitian scalar field,
1975
Earlier work this paper cites.
S. Coleman, Quantum sine-Gordon equation as the massive Thirring model,
1975
Earlier work this paper cites.
J. Glimm, A. Jaffe and T. Spencer, Phase transitions for
1975
Earlier work this paper cites.
F. Guerra, L. Rosen and B. Simon, The
1975
Earlier work this paper cites.
K. Osterwalder and R. Schrader, Axioms for Euclidean Green’s functions, II,
1975
Earlier work this paper cites.
E. Seiler, Schwinger functions for the Yukawa model in two dimensions with space-time cutoff,
1975
Earlier work this paper cites.
J. Dimock and J.-P. Eckmann, On the bound state in weakly coupled
1976
Earlier work this paper cites.
J.S. Feldman and K. Osterwalder, The Wightman axioms and the mass gap for weakly coupled
1976
Earlier work this paper cites.
J. Fröhlich, New super-selection sectors (“soliton states”) in two dimensional Bose quantum field models,
1976
Earlier work this paper cites.
J. Fröhlich and E. Seiler, The massive Thirring-Schwinger model (QED
1976
Earlier work this paper cites.
J. Glimm, A. Jaffe and T. Spencer, A convergent expansion about mean field theory I. The expansion,
1976
Earlier work this paper cites.
J. Magnen and R. Sénéor, The infinite volume limit of the
1976
Earlier work this paper cites.
J. Magnen and R. Sénéor, The Wightman axioms for the weakly coupled Yukawa model in two dimensions,
1976
Earlier work this paper cites.
K. Osterwalder and R. Sénéor, The scattering matrix is non-trivial for weakly coupled
1976
Earlier work this paper cites.
E. Seiler and B. Simon, Nelson’s symmetry and all that in the Yukawa
1976
Earlier work this paper cites.
T. Spencer and F. Zirilli, Scattering states and bound states in
1976
Earlier work this paper cites.
F. Strocchi and A.S. Wightman, Proof of the charge superselection rule in local relativistic quantum field theory,
1976
Earlier work this paper cites.
C. Burnap, Isolated one particle states in boson quantum field theory models,
1977
Earlier work this paper cites.
A. Cooper and L. Rosen, The weakly coupled Yukawa
1977
Earlier work this paper cites.
J. Dimock and J.-P. Eckmann, Spectral properties and bound-state scattering in weakly coupled
1977
Earlier work this paper cites.
J.S. Feldman and R. Raczka, The relativistic field equation of the
1977
Earlier work this paper cites.
J. Magnen and R. Sénéor, Phase space cell expansion and Borel summability for the Euclidean
1977
Cited alongside, same era.
B.M. McCoy, C.A. Tracy, and T.T. Wu, Two-dimensional Ising model as an exactly solvable relativistic quantum field theory: Explicit formulas for n-point functions,
1977
Cited alongside, same era.
Y.M. Park, Massless quantum sine–Gordon equation in two space-time dimensions: Correlation inequalities and infinite volume limit,
1977
Cited alongside, same era.
V.A. Il’in and D.A. Slavnov, Algebras of observables in the S–matrix approach,
1978
Cited alongside, same era.
M. Karowski and P. Weisz, Exact form factors in (1 + 1)-dimensional field theoretic models with soliton behaviour,
1978
Cited alongside, same era.
H.-J. Borchers and J. Yngvason, From quantum fields to local von Neumann algebras,
1992
Later among the works it cites.
R. Fernández, J. Fröhlich and A. Sokal,
1992
Later among the works it cites.
R. Haag,
1992
Later among the works it cites.
F. A. Smirnov,
1992
Later among the works it cites.
J. Dimock and T.R. Hurd, Construction of the two-dimensional Sine–Gordon model for
1993
Later among the works it cites.
D. Iagolnitzer,
1993
Later among the works it cites.
J. Magnen, V. Rivasseau and R. Sénéor, Construction of YM
1993
Later among the works it cites.
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1978
Cited alongside, same era.
S. Albeverio, G. Gallavotti and R. Hoegh-Krohn, Some results for the exponential interaction in two or more dimensions,
1979
Cited alongside, same era.
P. Renouard, Analyticité et sommabilité ”de Borel” des fonctions de Schwinger du modèle de Yukawa en dimension
1979
Cited alongside, same era.
D.H. Weingarten and J.L. Challifour, Continuum limit of QED
1979
Cited alongside, same era.
A.B. Zamolodchikov and A.B. Zamolodchikov, Factorized S–matrices in two dimensions as the exact solutions of certain relativistic quantum field models,
1979
Cited alongside, same era.
H. Koch, Particles exist in the low temperature
1980
Cited alongside, same era.
J. Magnen and R. Sénéor, Yukawa quantum field theory in three dimensions, in:
1980
Cited alongside, same era.
F. Strocchi,
1993
Later among the works it cites.
A. Ashtekar and J. Lewandowski, Representation theory of analytic holonomy
1994
Later among the works it cites.
J. Bros and D. Buchholz, Towards a relativistic KMS condition,
1994
Later among the works it cites.
S.S. Schweber,
1994
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D. Brydges, J. Dimock and T.R. Hurd, The short distance behavior of
1995
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C. de Calan, Construction of the Gross–Neveu model in dimension
1995
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C. Kopper, J. Magnen and V. Rivasseau, Mass generation in the large
1995
Later among the works it cites.
S. Albeverio, H. Gottschalk and J.-L. Wu, Models of local relativistic quantum fields with indefinite metric (in all dimensions),
1997
Later among the works it cites.
A. Ashtekar, J. Lewandowski, D. Marolf, J. Mourao and T. Thiemann, SU(
1997
Later among the works it cites.
B. Schroer, Modular localization and the bootstrap–formfactor program,
1997
Later among the works it cites.
T. Thiemann, An axiomatic approach to quantum gauge field theory, in:
1997
Later among the works it cites.
D. Schlingemann, Construction of kink sectors for two-dimensional quantum field theory models: An algebraic approach,
1998
Later among the works it cites.
H. Araki,
1999
Later among the works it cites.
M. Dütsch and K. Fredenhagen, A local (perturbative) construction of observables in gauge theories: The example of QED,
1999
Later among the works it cites.
B. Schroer, Modular wedge localization and the
1999
Later among the works it cites.
M. Disertori and V. Rivasseau, Continuous constructive fermionic renormalization,
2000
Later among the works it cites.
C. Fleischhack, A new type of loop independence and SU(
2000
Later among the works it cites.
L. Wu, Uniqueness of Nelson’s diffusions II: Infinite dimensional setting and applications,
2000
Later among the works it cites.
S. Albeverio and H. Gottschalk, Scattering theory for quantum fields with indefinite metric,
2001
Later among the works it cites.
H.-J. Borchers, D. Buchholz and B. Schroer, Polarization–free generators and the S–matrix,
2001
Later among the works it cites.
M. Dütsch and K. Fredenhagen, Algebraic quantum field theory, perturbation theory, and the loop expansion,
2001
Later among the works it cites.
R. Gielerak and P. Lugiewicz, 4D local quantum field theory models from covariant stochastic differential equations I. Generalities,
2001
Later among the works it cites.
S.J. Summers, On the Stone–von Neumann uniqueness theorem and its ramifications, in:
2001
Later among the works it cites.
R. Brunetti, D. Guido and R. Longo, Modular localization and Wigner particles,
2002
Later among the works it cites.
L. Fassarella and B. Schroer, Wigner particle theory and local quantum physics,
2002
Later among the works it cites.
G. Lechner, Polarization-free quantum fields and interaction,
2003
Later among the works it cites.
M. Takesaki,
2003
Later among the works it cites.
M. Davier and W.J. Marciano, The theoretical prediction for the muon anomalous magnetic moment,
2004
Later among the works it cites.
C. Gérard and C.D. Jäkel, Thermal quantum fields without cut–offs in 1+1 space-time dimensions,
2005
Later among the works it cites.
G. Lechner, On the existence of local observables in theories with a factorizing S–matrix,
2005
Later among the works it cites.
J. Mund, B. Schroer and J. Yngvason, String–localized quantum fields and modular localization,
2006
Later among the works it cites.
S.J. Summers, Tomita-Takesaki modular theory, in: Volume 5 of the
2006
Later among the works it cites.
G. Benfatto, P. Falco and V. Mastropietro, Functional integral construction of the massive Thirring model: Verification of axioms and massless limit,
2007
Later among the works it cites.
D. Buchholz and S.J. Summers, String– and brane–localized causal fields in a strongly nonlocal model,
2007
Later among the works it cites.
C. Gérard and C.D. Jäkel, On the relativistic KMS condition for the
2007
Later among the works it cites.
H. Grosse and G. Lechner, Wedge–local quantum fields and noncommutative Minkowski space,
2007
Later among the works it cites.
S. Waldmann,
2007
Later among the works it cites.
D. Buchholz and S.J. Summers, Warped convolutions: A novel tool in the construction of quantum field theories, in:
2008
Later among the works it cites.
H. Grosse and G. Lechner, Noncommutative deformations of Wightman quantum field theories,
2008
Later among the works it cites.
G. Lechner, Construction of quantum field theories with factorizing S–matrices,
2008
Later among the works it cites.
J. Magnen and V. Rivasseau, Constructive
2008
Later among the works it cites.
G. Benfatto, P. Falco and V. Mastropietro, Massless Sine–Gordon and massive Thirring models: Proof of Coleman’s equivalence,
2009
Later among the works it cites.
R. Brunetti, M. Dütsch and K. Fredenhagen, Perturbative algebraic quantum field theory and the renormalization groups,
2009
Later among the works it cites.
R. Gurau, J. Magnen and V. Rivasseau, Tree quantum field theory,
2009
Later among the works it cites.
C. Kopper, On the local Borel transform of perturbation theory,
2010
Later among the works it cites.
D. Buchholz, G. Lechner and S.J. Summers, Warped convolutions, Rieffel deformations and the construction of quantum field theories,
2011
Later among the works it cites.
W. Dybalski and Y. Tanimoto, Asymptotic completeness in a class of massless relativistic quantum field theories,
2011
Later among the works it cites.
J. Klauder,
2011
Later among the works it cites.
J. Klauder, Scalar field quantization without divergences in all spacetime dimensions,
2011
Later among the works it cites.
S.J. Summers, Yet more ado about nothing: The remarkable relativistic vacuum state, in:
2011
Later among the works it cites.
M. Anshelevich and A.N. Sengupta, Quantum free Yang–Mills on the plane,
2012
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2012
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Y. Tanimoto, Construction of wedge-local nets of observables through Longo-Witten endomorphisms,
2012
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M. Bischoff and Y. Tanimoto, Construction of wedge-local nets of observables through Longo-Witten endomorphisms, II,
2013
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H. Grundling and G. Rudolph, QCD on an infinite lattice,
2013
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G. Lechner, J. Schlemmer and Y. Tanimoto, On the equivalence of two deformation schemes in quantum field theory,
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2014
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